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A FORMAL SYSTEM FOR EUCLID’S ELEMENTS

  • JEREMY AVIGAD (a1), EDWARD DEAN (a2) and JOHN MUMMA (a3)
  • DOI: http://dx.doi.org/10.1017/S1755020309990098
  • Published online: 01 December 2009
Abstract

We present a formal system, E, which provides a faithful model of the proofs in Euclid’s Elements, including the use of diagrammatic reasoning.

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Corresponding author
*JEREMY AVIGAD, DEPARTMENT OF PHILOSOPHY, CARNEGIE MELLON UNIVERSITY, PITTSBURGH, PA 15213 E-mail:avigad@cmu.edu
EDWARD DEAN, DEPARTMENT OF PHILOSOPHY, CARNEGIE MELLON UNIVERSITY, PITTSBURGH, PA 15213 E-mail:edean@andrew.cmu.edu
JOHN MUMMA, DIVISION OF LOGIC METHODOLOGY, AND PHILOSOPHY OF SCIENCE AT THE SUPPES, CENTER FOR HISTORY AND PHILOSOPHY OF SCIENCE, BUILDING 200, STANFORD, CA 94305–2024 E-mail:john.mumma@gmail.com
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